Determine the scale factor used in the dilation of line segment AB, centered at the origin.

Answer 1

To determine the scale factor used in the dilation of line segment AB, we compare the lengths of the original line segment AB to the lengths of the dilated line segment A'B'.

Let's assume that the length of the original line segment AB is denoted as |AB| and the length of the dilated line segment A'B' is denoted as |A'B'|.

The scale factor (k) used in the dilation can be calculated by:
k = |A'B'| / |AB|

If the scale factor is greater than 1, then the dilation is an enlargement. If the scale factor is between 0 and 1, then the dilation is a reduction.

We need the coordinates of points A and B as well as points A' and B' to calculate the lengths of the line segments and determine the scale factor.